Lesson Vocabulary

• corresponding elements
• matrix equation
• zero matrix
• equal matrices

Take Note Key Concept: Matrix Addition and Subtraction

To add matrices A and B with the same dimensions, add corresponding elements. Similarly, to subtract matrices A and B with the same dimensions, subtract corresponding elements.

A = [ a 11 a 12 a 21 a 22 ] A + B = [ a 11 + b 11 a 12 + b 12 a 21 + b 21 a 22 + b 22 ] B = [ b 11 b 12 b 21 b 22 ] A − B = [ a 11 − b 11 a 12 − b 12 a 21 − b 21 a 22 − b 22 ] table with 2 rows and 2 columns , row1 column 1 , eh equals , column 2 . matrix with 2 rows and 2 columns , row1 column 1 , eh sub 1 1 , column 2 eh sub 1 2 , row2 column 1 , eh sub 2 1 , column 2 eh sub 2 2 , end matrix , row2 column 1 , eh plus b equals , column 2 . matrix with 2 rows and 2 columns , row1 column 1 , eh sub 11 , plus , b sub 11 , column 2 eh sub 12 , plus , b sub 12 , row2 column 1 , eh sub 21 , plus , b sub 21 , column 2 eh sub 22 , plus , b sub 22 , end matrix , end table . table with 2 rows and 2 columns , row1 column 1 , b equals , column 2 . matrix with 2 rows and 2 columns , row1 column 1 , b sub 1 1 , column 2 b sub 1 2 , row2 column 1 , b sub 2 1 , column 2 b sub 2 2 , end matrix , row2 column 1 , eh minus b equals , column 2 . matrix with 2 rows and 2 columns , row1 column 1 , eh sub 11 , minus , b sub 11 , column 2 eh sub 12 , minus , b sub 12 , row2 column 1 , eh sub 21 , minus , b sub 21 , column 2 eh sub 22 , minus , b sub 22 , end matrix , end table